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The two series-connected capacitors in Fig. P6.31 are connected to the terminals of a black box at t = 0. The resulting current i(t) for t > 0 is known to be 800e-2" µA. a) Replace the original capacitors with an equiva- lent capacitor and find v,(1) for t 2 0. b) Find v;(1) for t 2 0. c) Find vz(1) for t 2 0.

The two series-connected capacitors in Fig. P6.31 are connected to the terminals of a black box at t = 0. The resulting current i(t) for t > 0 is known to be 800e-2" µA. a) Replace the original capacitors with an equiva- lent capacitor and find v,(1) for t 2 0. b) Find v;(1) for t 2 0. c) Find vz(1) for t 2 0.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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6.31 The two series-connected capacitors in Fig. P6.31 are connected to the terminals of a black box at t = 0. The resulting current i(t) for t > 0 is known to be 800e-25 µA. a) Replace the original capacitors with an equiva- lent capacitor and find v,(1) for t > 0. b) Find v,(t) for t 2 0. c) Find vz(1) for t 2 0. d) How much energy is delivered to the black box in the time interval 0 s1< 0? e) How much energy was initially stored in the series capacitors? f) How much energyis trapped in the ideal capacitors? g) Show that the solutions for v and vz agree with the answer obtained in (f). Figure P6.31 i(1) 5V2 µF vị + Black box + 25 V8 µF v2
Transcribed Image Text:6.31 The two series-connected capacitors in Fig. P6.31 are connected to the terminals of a black box at t = 0. The resulting current i(t) for t > 0 is known to be 800e-25 µA. a) Replace the original capacitors with an equiva- lent capacitor and find v,(1) for t > 0. b) Find v,(t) for t 2 0. c) Find vz(1) for t 2 0. d) How much energy is delivered to the black box in the time interval 0 s1< 0? e) How much energy was initially stored in the series capacitors? f) How much energyis trapped in the ideal capacitors? g) Show that the solutions for v and vz agree with the answer obtained in (f). Figure P6.31 i(1) 5V2 µF vị + Black box + 25 V8 µF v2
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